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Finding the Fourth Proportional to 1,261.15, 1,889.34 and 713.72

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Solution

The fourth proportional to 1,261.15, 1,889.34 and 713.72 is: 1,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.15 : 1,889.34 = 713.72 : x
  2. Step 2: Convert to fraction form
    1,261.15/1,889.34 = 713.72/x
  3. Step 3: Cross multiply
    1,261.15x = 1,889.34 × 713.72
  4. Step 4: Simplify right side
    1,261.15x = 1,348,461.79
  5. Step 5: Solve for x
    x = 1,348,461.79/1,261.15
  6. Step 6: Final answer
    x = 1,069.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.